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Conformal invariance of lattice models. / Duminil-Copin, Hugo; Smirnov, Stanislav.

Probability and statistical physics in two and more dimensions: Proceedings of the Clay Mathematics Institute Summer School and XIV Brazilian School of Probability Búzios, Brazil July 11–August 7, 2010. American Mathematical Society, 2012. p. 213-276 (Clay Math. Proc.; Vol. 15).

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Harvard

Duminil-Copin, H & Smirnov, S 2012, Conformal invariance of lattice models. in Probability and statistical physics in two and more dimensions: Proceedings of the Clay Mathematics Institute Summer School and XIV Brazilian School of Probability Búzios, Brazil July 11–August 7, 2010. Clay Math. Proc., vol. 15, American Mathematical Society, pp. 213-276, Clay Mathematics Institute Summer School and XIV Brazilian School of Probability, Búzios, Brazil, 11/07/10.

APA

Duminil-Copin, H., & Smirnov, S. (2012). Conformal invariance of lattice models. In Probability and statistical physics in two and more dimensions: Proceedings of the Clay Mathematics Institute Summer School and XIV Brazilian School of Probability Búzios, Brazil July 11–August 7, 2010 (pp. 213-276). (Clay Math. Proc.; Vol. 15). American Mathematical Society.

Vancouver

Duminil-Copin H, Smirnov S. Conformal invariance of lattice models. In Probability and statistical physics in two and more dimensions: Proceedings of the Clay Mathematics Institute Summer School and XIV Brazilian School of Probability Búzios, Brazil July 11–August 7, 2010. American Mathematical Society. 2012. p. 213-276. (Clay Math. Proc.).

Author

Duminil-Copin, Hugo ; Smirnov, Stanislav. / Conformal invariance of lattice models. Probability and statistical physics in two and more dimensions: Proceedings of the Clay Mathematics Institute Summer School and XIV Brazilian School of Probability Búzios, Brazil July 11–August 7, 2010. American Mathematical Society, 2012. pp. 213-276 (Clay Math. Proc.).

BibTeX

@inbook{8c48fbed45df41ec8fa78e62e0f109be,
title = "Conformal invariance of lattice models",
abstract = "These lecture notes provide an (almost) self-contained account on conformal invariance of the planar critical Ising and FK-Ising models. They present thetheory of discrete holomorphic functions and its applications to planar statistical physics (more precisely to the convergence of fermionic observables). Convergence to SLE is discussed briefly. Many open questions are included.",
author = "Hugo Duminil-Copin and Stanislav Smirnov",
year = "2012",
language = "English",
isbn = "9780821868638",
series = "Clay Math. Proc.",
publisher = "American Mathematical Society",
pages = "213--276",
booktitle = "Probability and statistical physics in two and more dimensions",
address = "United States",
note = "Clay Mathematics Institute Summer School and XIV Brazilian School of Probability ; Conference date: 11-07-2010 Through 07-08-2010",

}

RIS

TY - CHAP

T1 - Conformal invariance of lattice models

AU - Duminil-Copin, Hugo

AU - Smirnov, Stanislav

PY - 2012

Y1 - 2012

N2 - These lecture notes provide an (almost) self-contained account on conformal invariance of the planar critical Ising and FK-Ising models. They present thetheory of discrete holomorphic functions and its applications to planar statistical physics (more precisely to the convergence of fermionic observables). Convergence to SLE is discussed briefly. Many open questions are included.

AB - These lecture notes provide an (almost) self-contained account on conformal invariance of the planar critical Ising and FK-Ising models. They present thetheory of discrete holomorphic functions and its applications to planar statistical physics (more precisely to the convergence of fermionic observables). Convergence to SLE is discussed briefly. Many open questions are included.

UR - https://www.claymath.org/library/proceedings/cmip015c.pdf

M3 - Other chapter contribution

SN - 9780821868638

T3 - Clay Math. Proc.

SP - 213

EP - 276

BT - Probability and statistical physics in two and more dimensions

PB - American Mathematical Society

T2 - Clay Mathematics Institute Summer School and XIV Brazilian School of Probability

Y2 - 11 July 2010 through 7 August 2010

ER -

ID: 13405400